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Read this word problem. $\newline$ In science class, Vicky did an experiment with an unknown solid. She started with $11$ grams of the solid. During the experiment, the change in the mass of the solid was $-4$ grams. What was the final mass of the solid? $\newline$ To solve the problem, Jamal subtracted $11 - (-4)$ and came up with an answer of $15$ grams. Is Jamal correct? Why or why not? $\newline$ Choices: $\newline$ (A)Yes, Jamal is correct. $\newline$ (B)No. Jamal should have added $11 + 4$ because he was trying to find the final, or total, mass. $\newline$ (C)No. Jamal should have added $11 + (-4)$ because he needed to add the initial mass and the change in mass.

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Add and subtract integers: word problems

Full solution

Q. Read this word problem.

\newline

In science class, Vicky did an experiment with an unknown solid. She started with

11

grams of the solid. During the experiment, the change in the mass of the solid was

-4

grams. What was the final mass of the solid?

\newline

To solve the problem, Jamal subtracted

11 - (-4)

and came up with an answer of

15

grams. Is Jamal correct? Why or why not?

\newline

Choices:

\newline

(A)Yes, Jamal is correct.

\newline

(B)No. Jamal should have added

11 + 4

because he was trying to find the final, or total, mass.

\newline

(C)No. Jamal should have added

11 + (-4)

because he needed to add the initial mass and the change in mass.

Interpreting Change in Mass: Now, let's think about what the $-4$ grams represents. It's the change in mass, which means the solid lost $4$ grams. $\newline$ So, we should actually subtract $4$ grams from the initial mass to find the final mass. $\newline$ $11 - 4 = 7$ grams.

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